×


 x 

Shopping cart
Lapidus, Michel, Van Frankenhuijsen, Machiel - Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) - 9781461421757 - V9781461421757
Stock image for illustration purposes only - book cover, edition or condition may vary.

Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)

€ 129.66
€ 127.92
You save € 1.74!
FREE Delivery in Ireland
Description for Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) Hardcover. In its Second Edition, this in-depth study of the vibrations of fractal strings interlinks number theory, spectral geometry and fractal geometry. Includes a geometric reformulation of the Riemann hypothesis and a new final chapter on recent topics and results. Series: Springer Monographs in Mathematics. Num Pages: 570 pages, 3 black & white tables, biography. BIC Classification: PBH; PBKF; PBKJ; PBKL; PBKS; PBWR. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 33. Weight in Grams: 899.

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

Key Features of this Second Edition:

The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings

Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra

Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

Examples of such explicit formulas ... Read more

The method of Diophantine approximation is used to study self-similar strings and flows

Analytical and geometric methodsare used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Throughout, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level. Fractal Geometry, Complex Dimensions and Zeta Functions, Second Edition will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics.

Show Less

Product Details

Format
Hardback
Publication date
2012
Publisher
Springer
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
570
Place of Publication
New York, NY, United States
ISBN
9781461421757
SKU
V9781461421757
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1

Reviews for Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)
“This interesting volume gives a thorough introduction to an active field of research and will be very valuable to graduate students and researchers alike.” (C. Baxa, Monatshefte für Mathematik, Vol. 180, 2016) “In this research monograph the authors provide a mathematical theory of complex dimensions of fractal strings and its many applications. … The book is written in a ... Read more

Goodreads reviews for Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)


Subscribe to our newsletter

News on special offers, signed editions & more!